The Disc Theorem for the Schur Complement of Two Class Submatrices with γ-Diagonally Dominant Properties. Issue 1 (20th February 2017)
- Record Type:
- Journal Article
- Title:
- The Disc Theorem for the Schur Complement of Two Class Submatrices with γ-Diagonally Dominant Properties. Issue 1 (20th February 2017)
- Main Title:
- The Disc Theorem for the Schur Complement of Two Class Submatrices with γ-Diagonally Dominant Properties
- Authors:
- Li, Guangqi
Liu, Jianzhou
Zhang, Juan - Abstract:
- Abstract: The distribution for eigenvalues of Schur complement of matrices plays an important role in many mathematical problems. In this paper, we firstly present some criteria for H -matrix. Then as application, for two class matrices whose submatrices are γ -diagonally dominant and product γ -diagonally dominant, we show that the eigenvalues of the Schur complement are located in the Geršgorin discs and the Ostrowski discs of the original matrices under certain conditions.
- Is Part Of:
- Numerical mathematics. Volume 10:Issue 1(2017)
- Journal:
- Numerical mathematics
- Issue:
- Volume 10:Issue 1(2017)
- Issue Display:
- Volume 10, Issue 1 (2017)
- Year:
- 2017
- Volume:
- 10
- Issue:
- 1
- Issue Sort Value:
- 2017-0010-0001-0000
- Page Start:
- 84
- Page End:
- 97
- Publication Date:
- 2017-02-20
- Subjects:
- 15A24, -- 15A48
Schur complement, -- Geršgorin Theorem, -- Ostrowski Theorem, -- H-matrix
Numerical analysis -- Periodicals
Numerical analysis
Periodicals
518.05 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=TMA ↗
http://www.global-sci.org/nmtma/ ↗ - DOI:
- 10.4208/nmtma.2017.y14034 ↗
- Languages:
- English
- ISSNs:
- 1004-8979
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 1049.xml